Office:
Email:
Gyrhofstr. 8b
cjenning@math.unikoeln.de, jennichr@math.oregonstate.edu
Mailing Address:
Mathematical Institute
University of Cologne
Gyrhofstr. 8b
50931 Cologne
Germany
Research
My research interests are centered around integer partitions by
qseries, modular forms,
harmonic Maass forms, special functions, and combinatorics.
In particular I am interested in
congruences for partition functions that are not modular
forms, introducing new cranks for
partition functions, and studying rank functions
via harmonic Maass forms. Additionally I enjoy
all partition functions and qseries identities
coming from Bailey pairs and Bailey's Lemma.
I am a strong advocate for explicit computations for conjectures and verifications of theorems.
Primarily my computations are done in Maple.
The current version of my CV in pdf format can be found
here.
The majority of my articles can be found on
arXiv.
Preprints and Submitted Work

Mock modularity of the Mdrank of overpartitions
(with H. Swisher)
submitted for publication
ArXiv
Projects in Progress

Asymptotics and Inequalities for the M2partition Rank Function
(with D. Reihill)
Publications:

On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramamunjan's ω(q)
(with K. Bringmann and K. Mahlburg)
accepted for publication in Advances in Mathematics
ArXiv

The Generating Function of the M2rank of Partitions without Repeated Odd Parts as a Mock Modular Form
accepted for publication in Transactions of the American Mathematical Society (28 pages)
ArXiv
Maple File

Some Smallest Parts Functions from Variations of Bailey's Lemma
accepted for publication in Frontiers on Orthogonal Polynomials and qSeries
ArXiv

Ranks For Two Partition Quadruple Functions
accepted for publication in Journal de Theorie de Nombres de Bordeaux,
ArXiv

Two Partition Functions with Congruences modulo 3, 5, 7, and 13
Annals of Combinatorics, Vol. 21 number 3, (2017), pages 397443
ArXiv

Exotic BaileySlater SPTFunctions I: Group A
Advances in Mathematics, Vol. 305, (2017), pages 479514
ArXiv

Higher Order Smallest Parts Functions and RankCrank Moment Inequalities from Bailey Pairs
(with C. Babecki and G. Sangston)
Research in Number Theory, Vol. 2(1), (2016), pages 135
ArXiv

Exotic BaileySlater SPTFunctions II: HeckeRogersType Double Sums and
Bailey Pairs From Groups A, C, E
(with F. Garvan)
Advances in Mathematics, Vol. 299, (2016), pages 605639
ArXiv

Exotic BaileySlater SPTFunctions III: Bailey Pairs from Groups B, F, G, and J
Acta Arithmetica, Vol. 173 Number 4, (2016), pages 317364,
ArXiv

Overpartition Rank Differences Modulo 7 by Maass Forms
Journal of Number Theory, Vol. 163, (2016), pages 331358,
ArXiv

Congruences for Partition Pairs with Conditions
(formerly titled "Congruences for a Certain Partition Pair by a Crank"),
Quarterly Journal of Mathematics, Vol. 66, No. 3 (2015), pages 837860
ArXiv

Rank and Crank Moments for Partitions without Repeated Odd Parts,
Int. J. Number Theory, Vol. 11, No. 03 (2015), pages 683703.
Arxiv

Higher Order SPT functions for overpartitions, overpartitions with smallest part even,
and partitions without repeated odd parts
Journal of Number Theory, Vol. 149, (2015), pages 285312.
ArXiv

Another SPT crank for the number of smallest parts in overpartitions with even smallest part
(formerly titled "Another proof of two modulo 3 congruences and another SPT crank for the number of
smallest parts in overpartitions with even smallest part"),
Journal of Number Theory, Vol. 148, (2015), pages 196203.
ArXiv

The sptcrank for overpartitions
(with F. Garvan),
Acta Arithmetica, Vol. 166, No. 02 (2014), pages 141188.
ArXiv

Hecketype congruences for Andrews' sptfunction modulo 16 and 32
(with F. Garvan),
Int. J. Number Theory, Vol. 10, No. 02 (2014), pages 375390.
ArXiv

A note on the transcendence of zeros of a certain family of weakly holomorphic modular forms
(with H. Swisher),
Int. J. Number Theory, Vol. 10, No. 02 (2014), pages 309317.